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Finding the Fourth Proportional to 2,111.40, 3,167.10 and 878.40

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Solution

The fourth proportional to 2,111.40, 3,167.10 and 878.40 is: 1,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.40 : 3,167.10 = 878.40 : x
  2. Step 2: Convert to fraction form
    2,111.40/3,167.10 = 878.40/x
  3. Step 3: Cross multiply
    2,111.40x = 3,167.10 × 878.40
  4. Step 4: Simplify right side
    2,111.40x = 2,781,980.64
  5. Step 5: Solve for x
    x = 2,781,980.64/2,111.40
  6. Step 6: Final answer
    x = 1,317.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.